1778472 has 48 divisors (see below), whose sum is σ = 5103540. Its totient is φ = 557568.

The previous prime is 1778471. The next prime is 1778473. The reversal of 1778472 is 2748771.

It is an interprime number because it is at equal distance from previous prime (1778471) and next prime (1778473).

It can be written as a sum of positive squares in 2 ways, for example, as 1425636 + 352836 = 1194^2 + 594^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 1 + 7² + 7⁷ + 8 + 4⁴ + 7⁷ + 2¹⁷ .

It is not an unprimeable number, because it can be changed into a prime (1778471) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 498 + ... + 1950.

2^1778472 is an apocalyptic number.

1778472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1778472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2551770).

1778472 is an abundant number, since it is smaller than the sum of its proper divisors (3325068).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1778472 is a wasteful number, since it uses less digits than its factorization.

1778472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482 (or 1475 counting only the distinct ones).

The product of its digits is 21952, while the sum is 36.

The square root of 1778472 is about 1333.5936412566. The cubic root of 1778472 is about 121.1571393721.

Subtracting 1778472 from its reverse (2748771), we obtain a cube (970299 = 99³).

It can be divided in two parts, 177 and 8472, that added together give a square (8649 = 93²).

The spelling of 1778472 in words is "one million, seven hundred seventy-eight thousand, four hundred seventy-two".